Galilei, Galileo, The systems of the world, 1661

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="065/01/012.jpg" pagenum="6"/>
            <p type="main">
              <s>SIMPL. </s>
              <s>And who ſaith that I cannot draw other lines? </s>
              <s>why
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              may not I protract another line underneath, unto the point A,
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              that may be perpendicular to the reſt?</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>You can doubtleſs, at one and the ſame point, make no
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              more than three right lines concurre, that conſtitute right angles
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              between themſelves.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>I ſee what
                <emph type="italics"/>
              Simplicius
                <emph.end type="italics"/>
              means, namely, that ſhould the
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              ſaid D A be prolonged downward, then by that means there might
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              be drawn two others, but they would be the ſame with the firſt
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              three, differing onely in this, that whereas now they onely touch,
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              then they would interſect, but not produce new
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                <arrow.to.target n="marg14"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg14"/>
                <emph type="italics"/>
              In phyfical proofs
                <lb/>
              geometrical
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              neſs is not
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              ry.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>I will not ſay that this your argument may not be
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              cludent; but yet this I ſay with
                <emph type="italics"/>
              Ariſtotle,
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              that in things natural
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              it is not alwaies neceſſary, to bring
                <emph type="italics"/>
              Mathematical
                <emph.end type="italics"/>
              demonſtrations.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>Grant that it were ſo where ſuch proofs cannot be had,
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              yet if this caſe admit of them, why do not you uſe them? </s>
              <s>But it
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              would be good we ſpent no more words on this particular, for I
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              think that
                <emph type="italics"/>
              Salviatus
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              will yield, both to
                <emph type="italics"/>
              Ariſtotle,
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              and you,
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              out farther demonſtration, that the World is a body, and perfect,
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              yea moſt perfect, as being the greateſt work of God.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>So really it is, therefore leaving the general contempla­</s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg15"/>
                <lb/>
              tion of the whole, let us deſcend to the conſideration of its parts,
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              which
                <emph type="italics"/>
              Ariſtotle,
                <emph.end type="italics"/>
              in his firſt diviſion, makes two, and they very
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              rent and almoſt contrary to one another; namely the Cœleſtial,
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              and Elementary: that ingenerable, incorruptible, unalterable,
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              paſſible, &c. </s>
              <s>and this expoſed to a continual alteration,
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              on, &c. </s>
              <s>Which difference, as from its original principle, he
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              rives from the diverſity of local motions, and in this method he
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              proceeds.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg15"/>
                <emph type="italics"/>
              Parts of the world
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              are two, according
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              to
                <emph.end type="italics"/>
              Ariſtotle,
                <emph type="italics"/>
                <lb/>
              ſtial and
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              tary contrary to
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              one another.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Leaving the ſenſible, if I may ſo ſpeak, and retiring into the
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              Ideal world, he begins Architectonically to conſider that nature
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              being the principle of motion, it followeth that natural bodies be
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                <arrow.to.target n="marg16"/>
                <lb/>
              indued with local motion. </s>
              <s>Next he declares local motion to be
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              of three kinds, namely, circular, right, and mixt of right and
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              cular: and the two firſt he calleth ſimple, for that of all lines the
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                <arrow.to.target n="marg17"/>
                <lb/>
              circular, and right are onely ſimple; and here ſomewhat
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              ſtraining himſelf, he defineth anew, of ſimple motions, one to be
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              circular, namely that which is made about the
                <emph type="italics"/>
              medium,
                <emph.end type="italics"/>
              and the
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              other namely the right, upwards, and downwards; upwards, that
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              which moveth from the
                <emph type="italics"/>
              medium
                <emph.end type="italics"/>
              ; downwards, that which goeth
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              wards the
                <emph type="italics"/>
              medium.
                <emph.end type="italics"/>
              And from hence he infers, as he may by and
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                <arrow.to.target n="marg18"/>
                <lb/>
              ceſſary conſequence, that all ſimple motions are confined to theſe
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              three kinds, namely, to the
                <emph type="italics"/>
              medium,
                <emph.end type="italics"/>
              from the
                <emph type="italics"/>
              medium,
                <emph.end type="italics"/>
              and about
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              the
                <emph type="italics"/>
              medium
                <emph.end type="italics"/>
              ; the which correſponds ſaith he, with what hath been
                <lb/>
              ſaid before of a body, that it alſo is perfected by three things, and ſo </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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